Answer:
4
Step-by-step explanation:
All the sides of an equilateral triangle are equal, hence the perimeter is expressed as P = 3s
s is one of the side length
Given DE = 5x - 8
P = 3DE
P = 3(5x-8)
36 = 3(5x-8)
36/3 = 5x-8
12 = 5x - 8
5x = 12+9
5x = 20
x = 20/4
x = 4
Hence the value of x is 4
Answer:
Step-by-step explanation:
this is exactly the same as the 1st one, just they put it in a different orientation. sooo use law of cosines , where
QR = c
a = 12
b = 23
cos(120) = cos (P)
c = sq rt [ a^2+b^2﹣2*a*b*cos(P) ]
QR = sq rt [ 12^2 + 23^2 - 2* 12*23*cos(120) ]
QR = sq rt [ 144 + 529 - 552 * (-0.5 0 ]
QR = sq rt [ 673 + 276 ]
QR = sq rt [ 949 ]
QR = 30.8058
rounded to nearest 10th is
QR = 30.8 :)
Answer:
The coordinate of B is (6,0)
Step-by-step explanation:
Given;
coordinate of A = (-4,2) = (x₁, y₁)
coordinate of M = (1,1)
let coordinate of B = (x₂, y₂)
Mid-point is given by;
Therefore, the coordinate of B is (6,0)
Answer: 1 hour 15 minutes
Step-by-step explanation:
From the question, we are informed that Laura and Alicia both exercise 5 days a week and that Laura exercises for 30 minutes each day. For the 5 days, she'll exercise for:
= 5 × 30 minutes
= 150 minutes
= 2 hours 30 minutes
Alicia exercises for 45 minutes each day. Fir the 5 days, she'll exercise for:
= 5 × 45 minutes
= 225 minutes
= 3 hours 45 minutes
We then calculate the difference in their exercise per week which will be:
= 3 hours 45 minutes - 2 hours 30 minutes
= 1 hour 15 minutes
